Numerical Analysis: Master's Thesis

The Master’s Thesis is a key component of your advanced studies in numerical analysis and gives you the opportunity to focus on a topic that reflects your interests within computational mathematics. In consultation with a supervisor, you choose a subject area and design a project that may involve a literature study, numerical method development or a smaller researchoriented or applied investigation linked to activities at the department or to external partners.

Before starting the course, you discuss project directions with the director of studies and the student counsellor to identify options that align with your background and goals. Through the project, you strengthen your ability to analyse advanced numerical methods, assess accuracy and stability, interpret computational results and communicate your conclusions clearly in writing and speech. The degree project demonstrates your readiness to work independently at an advanced academic level and deepens your understanding of numerical methodology and its applications.

You conduct your project independently with regular guidance from your supervisor. At the beginning of the course, you prepare a study plan that describes your aims, the structure of the project and a realistic timeline. Your work may include a detailed literature review, implementation and analysis of numerical algorithms, simulation studies, methodological comparisons or theoretical development within a specialised area of numerical analysis.

The course includes compulsory sessions that support your work at an advanced level. These address scientific and academic communication, both written and oral, and include training in popularscience writing, presentation techniques and constructive feedback. You present ideas in seminars, discuss advanced mathematical and numerical reasoning and receive comments that help you refine your project. The work concludes with a scientific report in English, a popularscience summary and an oral presentation at a public seminar where you present and discuss your main results.

The Master’s Thesis prepares you for doctoral studies as well as advanced professional roles that require expertise in numerical methods and computational modelling. You gain experience in planning and completing a substantial scientific project, evaluating sophisticated numerical techniques, interpreting complex computational results and communicating your findings clearly to different audiences.

During the process, you also develop the ability to reflect on your own learning, identify areas where you want to deepen your knowledge and plan how to acquire further expertise. You will also have gained insight into how advanced numerical methods contribute to scientific understanding and support the development of solutions to demanding and meaningful realworld problems.

These skills are highly valued in research environments and in fields such as technology, data science, simulationbased industries and public organisations.

Prerequisites

A Bachelor's degree in mathematics or equivalent and English B / 6. Furthermore, second-cycle courses in the mathematical disciplines comprising 45 credits, of which at least 22.5 credits in numerical analysis including the course NUMN20 Numerical methods for differential equations, 7.5 credits, or equivalent, are required.

Selection criteria

Seats are allocated according to: ECTS (HPAV): 100 %.

Tuition fees for non-EU/EEA citizens

Citizens of countries outside:

• The European Union (EU)
• The European Economic Area (EEA) and
• Switzerland

are required to pay tuition fees. You pay an instalment of the tuition fee in advance of each
semester.

Tuition fees, payments and exemptions

Full programme/course tuition fee: SEK 92,500
First payment: SEK 46,250

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Note that you may also need to pay an application fee, or provide proof of exemption.

Application fee

No tuition fees for citizens of the EU, EEA and Switzerland

There are no tuition fees for citizens of the European Union (EU), the European Economic Area (EEA) and Switzerland.